Least Common Multiple of 33/30, 53/790, 209/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/30, 53/790, 209/536 quickly i.e. 33231/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/30, 53/790, 209/536 is 33231/2.

LCM(33/30, 53/790, 209/536) = 33231/2

LCM of 33/30, 53/790, 209/536

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 33/30,53/790,209/536

Given numbers are 33/30,53/790,209/536

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 33,53,209

Least Common Multiple of Numerators i.e. LCM of 33,53,209 is 33231.

GCF of Denominators means GCF of 30,790,536 as per the given fractions.

GCF of 30,790,536 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,53,209

LCM of Fractions 33/30,53/790,209/536 is 33231/2

11 33, 53, 209
3, 53, 19

∴ So the LCM of the given numbers is 11 x 3 x 53 x 19 = 33231

Least Common Multiple of 33,53,209 with GCF Formula

Least Common Multiple of 33,53,209 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 33,53,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,53,209) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(33,53,209) x common factors =1 x 11 = 11

LCM(33,53,209) = ( 33 × 53 × 209 ) / 11

LCM(33,53,209) = 365541 / 11

LCM(33,53,209) = 33231


Lets's calculate GCF of 30,790,536

2 30, 790, 536
15, 395, 268

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33231/2

Therefore the LCM of Fractions 33/30,53/790,209/536 is 33231/2

Greatest Common Factor of 30,790,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,790,536 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 30,790,536 . The biggest common factor number is the GCF number.
So the greatest common factor 30,790,536 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 33/30, 53/790, 209/536

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 33/30, 53/790, 209/536?

Answer: LCM of Numerators as per given numbers 33/30, 53/790, 209/536 is

LCM of Numerators i.e. for 33,53,209 is 33231

GCF of denominators i.e. for 30,790,536 is 2.

Thus, LCM of Fractions is 33231/2.Finally, LCM of Fractions for 33/30, 53/790, 209/536 is 33231/2.